Question

A 2.00 bucket containing 10.5 of water is hanging from a vertical ideal spring
of force constant 120 and oscillating up and down with an
amplitude of 3.00 . Suddenly the bucket springs a
leak in the bottom such that water drops out at a steady rate of
2.00 .

A)When the bucket is half full, find the
period of oscillation.

B)When the bucket is half full, find the rate
at which the period is changing with respect to time.